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Finding the Fourth Proportional to 284,465.59, 392,548.08 and 157,116.58

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Solution

The fourth proportional to 284,465.59, 392,548.08 and 157,116.58 is: 216,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,465.59 : 392,548.08 = 157,116.58 : x
  2. Step 2: Convert to fraction form
    284,465.59/392,548.08 = 157,116.58/x
  3. Step 3: Cross multiply
    284,465.59x = 392,548.08 × 157,116.58
  4. Step 4: Simplify right side
    284,465.59x = 61,675,811,815.17
  5. Step 5: Solve for x
    x = 61,675,811,815.17/284,465.59
  6. Step 6: Final answer
    x = 216,812.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.